p-adic Absolute Value

This is a tiny Flask application to calculate the p-adic absolute-value of a rational number.

1. Install the Flask, WTForms, and flask_wtf packages (see requirements.txt).
2. python p_adic_controller.py runs the application in a browser at http://127.0.0.1:5000/test.

p_adic_controller.py contains the app logic.

p_adic_view.html is the Jinja view template.

p_adic_model.py is a WTForms Form subclass. This will be updated to a Flask-WTF FlaskForm subclass to include CSRF protection.

p_adic_compute contains the computation functions. p_adic_abs is the old version.

The function p_adic_abs takes a prime $p$ and a rational number $x$ as its arguments, and returns the p-adic absolute value $|x|_p$ as:

• an integer, when the answer is a whole number
• a string expressed as a ratio of integer a/b, when the answer is a float

Example in terminal:

import p_adic_compute as p

p.p_adic_abs(5, 1/200)
25

p.p_adic_abs(5, 200)
'1/25'

Floats are converted to an integer ratio with the fractions package. This is chosen to analyze the result for pedagogical rather than computational purposes. This will be refactored so that either version can be chosen.